×
Author ID: velenik.yvan Recent zbMATH articles by "Velenik, Yvan"
Published as: Velenik, Yvan; Velenik, Y.
Homepage: https://www.unige.ch/math/folks/velenik/
External Links: MGP · ORCID · ResearchGate
Documents Indexed: 51 Publications since 1996, including 1 Book
Co-Authors: 23 Co-Authors with 48 Joint Publications
495 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 580 times in 358 Documents Cited by Year
Statistical mechanics of lattice systems. A concrete mathematical introduction. Zbl 1407.82001
Friedli, Sacha; Velenik, Yvan
99
2018
Localization and delocalization of random interfaces. Zbl 1189.82051
Velenik, Yvan
44
2006
Fluctuation theory of connectivities for subcritical random cluster models. Zbl 1160.60026
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
33
2008
Ornstein-Zernike theory for finite range Ising models above \(T_c\). Zbl 1032.60093
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
30
2003
Random permutations with cycle weights. Zbl 1226.60130
Betz, Volker; Ueltschi, Daniel; Velenik, Yvan
26
2011
Rigorous probabilistic analysis of equilibrium crystal shapes. Zbl 0977.82013
Bodineau, T.; Ioffe, D.; Velenik, Y.
21
2000
Ballistic phase of self-interacting random walks. Zbl 1255.60168
Ioffe, Dmitry; Velenik, Yvan
20
2008
Large deviations and continuum limit in the 2D Ising model. Zbl 0904.60022
Pfister, C.-E.; Velenik, Y.
20
1997
2D models of statistical physics with continuous symmetry: The case of singular interactions. Zbl 0990.82004
Ioffe, D.; Shlosman, S.; Velenik, Y.
19
2002
Interface, surface tension and reentrant pinning transition in the \(2\)D Ising model. Zbl 0937.82016
Pfister, C.-E.; Velenik, Y.
16
1999
An invariance principle to Ferrari-Spohn diffusions. Zbl 1323.60055
Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan
16
2015
Critical behavior of the massless free field at the depinning transition. Zbl 0992.82011
Bolthausen, Erwin; Velenik, Yvan
15
2001
The statistical mechanics of stretched polymers. Zbl 1195.82107
Ioffe, Dmitry; Velenik, Yvan
15
2010
Entropic repulsion of an interface in an external field. Zbl 1078.60088
Velenik, Y.
14
2004
A finite-volume version of Aizenman-Higuchi theorem for the 2D Ising model. Zbl 1246.82013
Coquille, Loren; Velenik, Yvan
13
2012
A note on wetting transition for gradient fields. Zbl 1045.60102
Caputo, P.; Velenik, Y.
12
2000
Low-temperature interfaces: prewetting, layering, faceting and Ferrari-Spohn diffusions. Zbl 1414.60079
Ioffe, D.; Velenik, Y.
12
2018
Crossing random walks and stretched polymers at weak disorder. Zbl 1251.60074
Ioffe, Dmitry; Velenik, Yvan
11
2012
On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
11
2014
Universality of critical behaviour in a class of recurrent random walks. Zbl 1078.60034
Hryniv, O.; Velenik, Y.
10
2004
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
10
2018
A note on the decay of correlations under \(\delta\)-pinning. Zbl 0951.60094
Ioffe, Dmitry; Velenik, Yvan
9
2000
Self-similar corrections to the ergodic theorem for the Pascal-adic transformation. Zbl 1072.37006
Janvresse, É.; de la Rue, T.; Velenik, Y.
9
2005
Non-Gaussian surface pinned by a weak potential. Zbl 0960.60095
Deuschel, J.-D.; Velenik, Y.
8
2000
Mathematical theory of the wetting phenomenon in the 2D Ising model. Zbl 0882.60096
Pfister, Charles-Edouard; Velenik, Yvan
8
1996
Winterbottom construction for finite range ferromagnetic models: an \(\mathbb L_ 1\)-approach. Zbl 1156.82327
Bodineau, T.; Ioffe, D.; Velenik, Y.
7
2001
Some rigorous results on semiflexible polymers. I: Free and confined polymers. Zbl 1176.60083
Hryniv, O.; Velenik, Y.
7
2009
Entropy-driven phase transition in a polydisperse hard-rods lattice system. Zbl 1149.82316
Ioffe, D.; Velenik, Y.; Zahradník, M.
7
2006
Potts models with a defect line. Zbl 1398.82030
Ott, Sébastien; Velenik, Yvan
7
2018
Self-attractive random walks: the case of critical drifts. Zbl 1278.60085
Ioffe, Dmitry; Velenik, Yvan
6
2012
Stretched polymers in random environment. Zbl 1251.82070
Ioffe, Dmitry; Velenik, Yvan
6
2012
Scaling limit of the prudent walk. Zbl 1201.60029
Beffara, Vincent; Friedli, Sacha; Velenik, Yvan
5
2010
Random-cluster representation of the Ashkin-Teller model. Zbl 0945.82531
Pfister, C.-E.; Velenik, Y.
5
1997
Random path representation and sharp correlations asymptotics at high-temperatures. Zbl 1074.82015
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
4
2004
Subcritical percolation with a line of defects. Zbl 1401.60177
Friedli, S.; Ioffe, D.; Velenik, Y.
4
2013
Pinning by a sparse potential. Zbl 1079.60077
Janvresse, É.; de la Rue, T.; Velenik, Y.
4
2005
Asymptotics of even-even correlations in the Ising model. Zbl 1422.60161
Ott, Sébastien; Velenik, Yvan
4
2019
Invariance principle for a Potts interface along a wall. Zbl 1450.60060
Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan; Wachtel, Vitali
3
2020
Wetting of gradient fields: pathwise estimates. Zbl 1163.60048
Velenik, Yvan
2
2009
Non-analyticity of the correlation length in systems with exponentially decaying interactions. Zbl 1469.82006
Aoun, Yacine; Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan
2
2021
On entropic reduction of fluctuations. Zbl 1174.82300
Bodineau, Thierry; Giacomin, Giambattista; Velenik, Yvan
1
2001
Macroscopic description of phase separation in the 2D Ising model. Zbl 1055.82513
Pfister, Charles-Edouard; Velenik, Yvan
1
1999
An almost sure CLT for stretched polymers. Zbl 1286.60026
Ioffe, Dmitry; Velenik, Yvan
1
2013
A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109
Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
1
2016
Upper bound on the decay of correlations in a general class of \(\mathrm{O}(N)\)-symmetric models. Zbl 1305.82015
Gagnebin, Maxime; Velenik, Yvan
1
2014
Critical prewetting in the 2d Ising model. Zbl 1502.60156
Ioffe, Dmitry; Ott, Sébastien; Shlosman, Senya; Velenik, Yvan
1
2022
Critical prewetting in the 2d Ising model. Zbl 1502.60156
Ioffe, Dmitry; Ott, Sébastien; Shlosman, Senya; Velenik, Yvan
1
2022
Non-analyticity of the correlation length in systems with exponentially decaying interactions. Zbl 1469.82006
Aoun, Yacine; Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan
2
2021
Invariance principle for a Potts interface along a wall. Zbl 1450.60060
Ioffe, Dmitry; Ott, Sébastien; Velenik, Yvan; Wachtel, Vitali
3
2020
Asymptotics of even-even correlations in the Ising model. Zbl 1422.60161
Ott, Sébastien; Velenik, Yvan
4
2019
Statistical mechanics of lattice systems. A concrete mathematical introduction. Zbl 1407.82001
Friedli, Sacha; Velenik, Yvan
99
2018
Low-temperature interfaces: prewetting, layering, faceting and Ferrari-Spohn diffusions. Zbl 1414.60079
Ioffe, D.; Velenik, Y.
12
2018
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
10
2018
Potts models with a defect line. Zbl 1398.82030
Ott, Sébastien; Velenik, Yvan
7
2018
A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109
Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
1
2016
An invariance principle to Ferrari-Spohn diffusions. Zbl 1323.60055
Ioffe, Dmitry; Shlosman, Senya; Velenik, Yvan
16
2015
On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
11
2014
Upper bound on the decay of correlations in a general class of \(\mathrm{O}(N)\)-symmetric models. Zbl 1305.82015
Gagnebin, Maxime; Velenik, Yvan
1
2014
Subcritical percolation with a line of defects. Zbl 1401.60177
Friedli, S.; Ioffe, D.; Velenik, Y.
4
2013
An almost sure CLT for stretched polymers. Zbl 1286.60026
Ioffe, Dmitry; Velenik, Yvan
1
2013
A finite-volume version of Aizenman-Higuchi theorem for the 2D Ising model. Zbl 1246.82013
Coquille, Loren; Velenik, Yvan
13
2012
Crossing random walks and stretched polymers at weak disorder. Zbl 1251.60074
Ioffe, Dmitry; Velenik, Yvan
11
2012
Self-attractive random walks: the case of critical drifts. Zbl 1278.60085
Ioffe, Dmitry; Velenik, Yvan
6
2012
Stretched polymers in random environment. Zbl 1251.82070
Ioffe, Dmitry; Velenik, Yvan
6
2012
Random permutations with cycle weights. Zbl 1226.60130
Betz, Volker; Ueltschi, Daniel; Velenik, Yvan
26
2011
The statistical mechanics of stretched polymers. Zbl 1195.82107
Ioffe, Dmitry; Velenik, Yvan
15
2010
Scaling limit of the prudent walk. Zbl 1201.60029
Beffara, Vincent; Friedli, Sacha; Velenik, Yvan
5
2010
Some rigorous results on semiflexible polymers. I: Free and confined polymers. Zbl 1176.60083
Hryniv, O.; Velenik, Y.
7
2009
Wetting of gradient fields: pathwise estimates. Zbl 1163.60048
Velenik, Yvan
2
2009
Fluctuation theory of connectivities for subcritical random cluster models. Zbl 1160.60026
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
33
2008
Ballistic phase of self-interacting random walks. Zbl 1255.60168
Ioffe, Dmitry; Velenik, Yvan
20
2008
Localization and delocalization of random interfaces. Zbl 1189.82051
Velenik, Yvan
44
2006
Entropy-driven phase transition in a polydisperse hard-rods lattice system. Zbl 1149.82316
Ioffe, D.; Velenik, Y.; Zahradník, M.
7
2006
Self-similar corrections to the ergodic theorem for the Pascal-adic transformation. Zbl 1072.37006
Janvresse, É.; de la Rue, T.; Velenik, Y.
9
2005
Pinning by a sparse potential. Zbl 1079.60077
Janvresse, É.; de la Rue, T.; Velenik, Y.
4
2005
Entropic repulsion of an interface in an external field. Zbl 1078.60088
Velenik, Y.
14
2004
Universality of critical behaviour in a class of recurrent random walks. Zbl 1078.60034
Hryniv, O.; Velenik, Y.
10
2004
Random path representation and sharp correlations asymptotics at high-temperatures. Zbl 1074.82015
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
4
2004
Ornstein-Zernike theory for finite range Ising models above \(T_c\). Zbl 1032.60093
Campanino, Massimo; Ioffe, Dmitry; Velenik, Yvan
30
2003
2D models of statistical physics with continuous symmetry: The case of singular interactions. Zbl 0990.82004
Ioffe, D.; Shlosman, S.; Velenik, Y.
19
2002
Critical behavior of the massless free field at the depinning transition. Zbl 0992.82011
Bolthausen, Erwin; Velenik, Yvan
15
2001
Winterbottom construction for finite range ferromagnetic models: an \(\mathbb L_ 1\)-approach. Zbl 1156.82327
Bodineau, T.; Ioffe, D.; Velenik, Y.
7
2001
On entropic reduction of fluctuations. Zbl 1174.82300
Bodineau, Thierry; Giacomin, Giambattista; Velenik, Yvan
1
2001
Rigorous probabilistic analysis of equilibrium crystal shapes. Zbl 0977.82013
Bodineau, T.; Ioffe, D.; Velenik, Y.
21
2000
A note on wetting transition for gradient fields. Zbl 1045.60102
Caputo, P.; Velenik, Y.
12
2000
A note on the decay of correlations under \(\delta\)-pinning. Zbl 0951.60094
Ioffe, Dmitry; Velenik, Yvan
9
2000
Non-Gaussian surface pinned by a weak potential. Zbl 0960.60095
Deuschel, J.-D.; Velenik, Y.
8
2000
Interface, surface tension and reentrant pinning transition in the \(2\)D Ising model. Zbl 0937.82016
Pfister, C.-E.; Velenik, Y.
16
1999
Macroscopic description of phase separation in the 2D Ising model. Zbl 1055.82513
Pfister, Charles-Edouard; Velenik, Yvan
1
1999
Large deviations and continuum limit in the 2D Ising model. Zbl 0904.60022
Pfister, C.-E.; Velenik, Y.
20
1997
Random-cluster representation of the Ashkin-Teller model. Zbl 0945.82531
Pfister, C.-E.; Velenik, Y.
5
1997
Mathematical theory of the wetting phenomenon in the 2D Ising model. Zbl 0882.60096
Pfister, Charles-Edouard; Velenik, Yvan
8
1996
all top 5

Cited by 437 Authors

24 Velenik, Yvan
20 Ioffe, Dmitry
10 van Enter, Aernout C. D.
9 Biskup, Marek
9 Caputo, Pietro
9 Duminil-Copin, Hugo
9 Peled, Ron
9 Shlosman, Senya B.
8 Janse van Rensburg, Esaias J.
8 Lacoin, Hubert
8 Le Ny, Arnaud
8 Ott, Sébastien
7 Toninelli, Fabio Lucio
7 Whittington, Stuart G.
7 Zeindler, Dirk
6 Coquille, Loren
6 Giacomin, Giambattista
6 Lubetzky, Eyal
6 Pétrélis, Nicolas
6 Sakagawa, Hironobu
5 Betz, Volker
5 Campanino, Massimo
5 Cipriani, Alessandra
5 Deuschel, Jean-Dominique
5 Külske, Christof
5 Martinelli, Fabio
5 Minabutdinov, A. R.
5 Rozikov, Utkir A.
5 Wachtel, Vitali I.
4 Alexander, Kenneth S.
4 Bodineau, Thierry
4 Caravenna, Francesco
4 Dunlop, François
4 Endo, Eric Ossami
4 Gandolfo, Daniel
4 Gheissari, Reza
4 Giuliani, Alessandro
4 Glazman, Alexander
4 Hammond, Alan
4 Hazra, Rajat Subhra
4 Manolescu, Ioan
4 Nikeghbali, Ashkan
4 Richthammer, Thomas
4 Squarcini, Alessio
4 Ueltschi, Daniel
3 Aoun, Yacine
3 Bradly, Chris J.
3 Cerf, Raphaël
3 Chayes, Lincoln
3 Cioletti, Leandro Martins
3 Comets, Francis M.
3 Conache, Diana
3 Dan, Biltu
3 Dario, Paul
3 Funaki, Tadahisa
3 Gianfelice, Michele
3 Gvalani, Rishabh S.
3 Heydenreich, Markus
3 Hryniv, Ostap
3 Huillet, Thierry E.
3 Lima, Paulo Cupertino
3 Menshikov, Mikhail V.
3 Merola, Immacolata
3 Messikh, Reda Jürg
3 Mörters, Peter
3 Otobe, Tatsushi
3 Owczarek, Aleksander L.
3 Picco, Pierre
3 Procaccia, Eviatar Ben
3 Raoufi, Aran
3 Schäfer, Helge
3 Schreiber, Tomasz
3 Schweiger, Florian
3 Sidoravicius, Vladas
3 Sly, Allan
3 Smith, Naftali R.
3 Vershik, Anatoliĭ Moiseevich
3 Wade, Andrew R.
2 Barvinok, Alexander I.
2 Beffara, Vincent
2 Berger, Quentin
2 Bissacot, Rodrigo
2 Björnberg, Jakob Erik
2 Blanchard, Philippe
2 Bolthausen, Erwin
2 Buchholz, Simon
2 Carmona, Philippe
2 Cassandro, Marzio
2 Cotar, Codina
2 De Coninck, Joël
2 Delfino, Gesualdo
2 Dereich, Steffen
2 Dereudre, David
2 Diaconis, Persi Warren
2 Disertori, Margherita
2 Friedrich, Tobias
2 Garoni, Timothy M.
2 Göbel, Andreas-Nikolas
2 Gold, Julian
2 Greenblatt, Rafael Leon
...and 337 more Authors
all top 5

Cited in 83 Serials

61 Journal of Statistical Physics
39 Communications in Mathematical Physics
26 The Annals of Probability
22 Probability Theory and Related Fields
17 Stochastic Processes and their Applications
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Electronic Journal of Probability
11 Journal of Physics A: Mathematical and Theoretical
9 The Annals of Applied Probability
8 Journal of Mathematical Physics
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
7 Journal of Statistical Mechanics: Theory and Experiment
6 Combinatorics, Probability and Computing
5 Journal of Mathematical Sciences (New York)
4 Letters in Mathematical Physics
4 Theoretical and Mathematical Physics
4 Annales Henri Poincaré
3 Communications on Pure and Applied Mathematics
3 Electronic Communications in Probability
3 Bernoulli
3 Mathematical Physics, Analysis and Geometry
3 Journal of the European Mathematical Society (JEMS)
3 Journal of High Energy Physics
3 Brazilian Journal of Probability and Statistics
2 Nuclear Physics. B
2 Physica A
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Theoretical Computer Science
2 Advances in Applied Mathematics
2 Random Structures & Algorithms
2 Oberwolfach Reports
2 Actes des Rencontres du C.I.R.M.
2 Probability and Mathematical Physics
1 Modern Physics Letters B
1 Archive for Rational Mechanics and Analysis
1 Physics Reports
1 Russian Mathematical Surveys
1 Theory of Probability and its Applications
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Functional Analysis and its Applications
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 SIAM Journal on Computing
1 Acta Applicandae Mathematicae
1 Statistical Science
1 Journal of Theoretical Probability
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 The Journal of Geometric Analysis
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Complexity
1 Calculus of Variations and Partial Differential Equations
1 Discussiones Mathematicae. Graph Theory
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 New Journal of Physics
1 Annals of Mathematics. Second Series
1 Moscow Mathematical Journal
1 Journal of Machine Learning Research (JMLR)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Japanese Journal of Mathematics. 3rd Series
1 Probability Surveys
1 Journal of Mathematics in Industry
1 Journal of Theoretical Biology
1 Forum of Mathematics, Pi
1 Forum of Mathematics, Sigma
1 SIAM/ASA Journal on Uncertainty Quantification
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 Bollettino dell’Unione Matematica Italiana
1 Information Geometry
1 Pure and Applied Analysis
all top 5

Cited in 36 Fields

291 Statistical mechanics, structure of matter (82-XX)
222 Probability theory and stochastic processes (60-XX)
34 Combinatorics (05-XX)
21 Quantum theory (81-XX)
16 Dynamical systems and ergodic theory (37-XX)
12 Partial differential equations (35-XX)
11 Computer science (68-XX)
9 Statistics (62-XX)
7 Biology and other natural sciences (92-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Potential theory (31-XX)
5 Convex and discrete geometry (52-XX)
4 Measure and integration (28-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
4 Numerical analysis (65-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year